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Which ordered pair is a solution of the equation? 5x-2y=18 Choose 1 answer: (A) Only (5,3) (B) Only (4,1) (C) Both (5,3) and (4,1) (D) Neither

Which ordered pair is a solution of the equation?\newline5x−2y=185x-2y=18\newlineChoose 11 answer:\newline(A) Only (5,3)(5,3)\newline(B) Only (4,1)(4,1)\newline(C) Both (5,3)(5,3) and (4,1)(4,1)\newline(D) Neither

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Full solution

Q. Which ordered pair is a solution of the equation?\newline5x−2y=185x-2y=18\newlineChoose 11 answer:\newline(A) Only (5,3)(5,3)\newline(B) Only (4,1)(4,1)\newline(C) Both (5,3)(5,3) and (4,1)(4,1)\newline(D) Neither
  1. Check Substitution (A): Substitute the xx and yy values from option (A) into the equation to check if it satisfies the equation.\newlineFor the ordered pair (5,3)(5,3), substitute x=5x=5 and y=3y=3 into the equation 5x−2y=185x-2y=18.\newline5(5)−2(3)=25−6=195(5) - 2(3) = 25 - 6 = 19\newlineCheck if the result equals 1818.\newline19≠1819 \neq 18
  2. Result for Substitution AA: Since the result from step 11 does not equal 1818, option AA is not a solution to the equation.
  3. Check Substitution (B): Substitute the xx and yy values from option (B) into the equation to check if it satisfies the equation.\newlineFor the ordered pair (4,1)(4,1), substitute x=4x=4 and y=1y=1 into the equation 5x−2y=185x-2y=18.\newline5(4)−2(1)=20−2=185(4) - 2(1) = 20 - 2 = 18\newlineCheck if the result equals 1818.\newline18=1818 = 18
  4. Result for Substitution (B): Since the result from step 33 equals 1818, option (B) is a solution to the equation.
  5. Final Solution: Since option (A) is not a solution and option (B) is a solution, the correct answer is (B) Only (4,1)(4,1).

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